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Finding the Fourth Proportional to 50,769.78, 76,162.86 and 15,709.43

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Solution

The fourth proportional to 50,769.78, 76,162.86 and 15,709.43 is: 23,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769.78 : 76,162.86 = 15,709.43 : x
  2. Step 2: Convert to fraction form
    50,769.78/76,162.86 = 15,709.43/x
  3. Step 3: Cross multiply
    50,769.78x = 76,162.86 × 15,709.43
  4. Step 4: Simplify right side
    50,769.78x = 1,196,475,117.77
  5. Step 5: Solve for x
    x = 1,196,475,117.77/50,769.78
  6. Step 6: Final answer
    x = 23,566.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.